If \(f(x)=x^4-x^3+7 x^2+14\), then what is the value of \(f^{\prime}(5)\) ?

If \(f(x)=x^4-x^3+7 x^2+14\), then what is the value of \(f^{\prime}(5)\) ?
  1. 594
  2. 549
  3. 954
  4. 495

Solution

Since, \(f(x)=x^4-x^3+7 x^2+14\) Then, \(\quad f^{\prime}(x)=4 x^3-3 x^2+14 x\) \(\therefore \quad f^{\prime}(5)=500-75+70=495\)

Asked in: AP EAMCET 2020 (18 Sep Shift 1)

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